In the xy-plane, does the line L intersect the graph of y = x^2 GMAT Explanation

In the xy-plane, does the line L intersect the graph of y = x^2

(1) Line L passes through (4, -8)
(2) Line L passes through (-4, 16)

Correct Answer: B

If n and t are positive integers, what is the greatest prime factor of not? GMAT Explanation

If n and t are positive integers, what is the greatest prime factor of nt?

(1) The greatest common factor of n and t is 5
(2) The least common multiple of n and t is 105

Correct Answer: B

Set S consists of five consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T? GMAT Explanation

Set S consists of five consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

(1) The median of the numbers in Set S is 0
(2) The sum of the numbers in set S is equal to the sum of the numbers in set T

Correct Answer: C

In the figure above, the radius of the circle with center O is 1 and BC = 1. What is the area of triangular region ABC? GMAT Explanation

In the figure above, the radius of the circle with center O is 1 and BC = 1. What is the area of triangular region ABC?

(A) √2/2
(B) √3/2
(C) 1
(D) √2
(E) √3

Correct Answer: B

In isosceles triangle RST what is the measure of angle R? GMAT Explanation

In isosceles triangle RST what is the measure of angle R?

(1) The measure of ∠T is 100°.
(2) The measure of ∠S is 40°.

Correct Answer: A

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